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📄 fdtd_3d_pml_ey.cpp

📁 利用c++语言写的三维FDTD
💻 CPP
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#include "FDTD_3D_PML_Ey.h"

///////////////////////////////////////////////////////////////////////////////////////
//Calculate Ey field
///////////////////////////////////////////////////////////////////////////////////////
void CFDTD_3D_PML::calc_Ey_1()
{
	long  i, j, k;
	double Fy_r, Gy_r;

	//1
	for (i = 1; i < nPML_x_1; i++)
	{	
		for (j = 0; j < nPML_y_1; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_1[i][j][k];
				
				Fy_1[i][j][k] = K_a[Ind[i][j][k]]*Fy_1[i][j][k] + 
					            K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
								                    (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Gy_r = Gy_1[i][j][k];

				Gy_1[i][j][k] = K_Gy_a_1[k]*Gy_1[i][j][k] + 
					            K_Gy_b_1[k]*(Fy_1[i][j][k] - Fy_r);

				Ey[i][j][k] = K_Ey_a_1[i]*Ey[i][j][k] + 
					          K_Ey_b_1[i]*( K_Ey_c_1[j]*Gy_1[i][j][k] + K_Ey_d_1[j]*Gy_r);
			}
		}
	}
}

void CFDTD_3D_PML::calc_Ey_2()
{
	long  i, j, k, ia;
	double Fy_r, Gy_r;

	//2
	ia = 0;
	for (i = nPML_x_1; i < nx_MIN_nPML_x_2; i++)
	{	
		for (j = 0; j < nPML_y_1; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_2[ia][j][k];
				
				Fy_2[ia][j][k] = K_a[Ind[i][j][k]]*Fy_2[ia][j][k] + 
					             K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
								                     (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Gy_r = Gy_2[ia][j][k];

				Gy_2[ia][j][k] = K_Gy_a_1[k]*Gy_2[ia][j][k] + 
					             K_Gy_b_1[k]*(Fy_2[ia][j][k] - Fy_r);

				Ey[i][j][k] +=  inv_TwoOREp0*( K_Ey_c_1[j]*Gy_2[ia][j][k] + 
					                           K_Ey_d_1[j]*Gy_r);
			}
		}
		ia++;
	}
}

void CFDTD_3D_PML::calc_Ey_3()
{
	long  i, j, k, ii, ia;
	double Fy_r, Gy_r;

	//3
	ia = 0;
	ii = nPML_x_2_MIN_1;
	for (i = nx_MIN_nPML_x_2; i < nx_MIN_1; i++)
	{	
		for (j = 0; j < nPML_y_1; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_3[ia][j][k];
				
				Fy_3[ia][j][k] = K_a[Ind[i][j][k]]*Fy_3[ia][j][k] + 
					             K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
								                     (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Gy_r = Gy_3[ia][j][k];

				Gy_3[ia][j][k] = K_Gy_a_1[k]*Gy_3[ia][j][k] + 
					             K_Gy_b_1[k]*(Fy_3[ia][j][k] - Fy_r);

				Ey[i][j][k] = K_Ey_a_2[ii]*Ey[i][j][k] + 
					          K_Ey_b_2[ii]*( K_Ey_c_1[j]*Gy_3[ia][j][k] + K_Ey_d_1[j]*Gy_r);
			}
		}
		ia++;
		ii--;
	}
}

void CFDTD_3D_PML::calc_Ey_4()
{
	long  i, j, k, ja;
	double Fy_r, Gy_r;

	//4
	for (i = 1; i < nPML_x_1; i++)
	{	
		ja = 0;
		for (j = nPML_y_1; j < ny_MIN_1_MIN_nPML_y_2; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_4[i][ja][k];
				
				Fy_4[i][ja][k] = K_a[Ind[i][j][k]]*Fy_4[i][ja][k] + 
					             K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
								                     (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Gy_r = Gy_4[i][ja][k];

				Gy_4[i][ja][k] = K_Gy_a_1[k]*Gy_4[i][ja][k] + 
					             K_Gy_b_1[k]*(Fy_4[i][ja][k] - Fy_r);

				Ey[i][j][k] = K_Ey_a_1[i]*Ey[i][j][k] + 
					          K_Ey_b_1[i]*TwoOREp0*( Gy_4[i][ja][k] - Gy_r);
			}
			ja++;
		}
	}

}

void CFDTD_3D_PML::calc_Ey_5()
{
	long  i, j, k, ia, ja;
	double Fy_r;

	//5
	ia = 0;
	for (i = nPML_x_1; i < nx_MIN_nPML_x_2; i++)
	{	
		ja = 0;
		for (j = nPML_y_1; j < ny_MIN_1_MIN_nPML_y_2; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_5[ia][ja][k];
				
				Fy_5[ia][ja][k] = K_a[Ind[i][j][k]]*Fy_5[ia][ja][k] + 
					              K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
						 		                      (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Ey[i][j][k] = K_Gy_a_1[k]*Ey[i][j][k] + 
					          K_Gy_b_1[k]*(Fy_5[ia][ja][k] - Fy_r);

			}
			ja++;
		}
		ia++;
	}
}

void CFDTD_3D_PML::calc_Ey_6()
{
	long  i, j, k, ii, ia, ja;
	double Fy_r, Gy_r;
	
	//6
	ia = 0;
	ii = nPML_x_2_MIN_1;
	for (i = nx_MIN_nPML_x_2; i < nx_MIN_1; i++)
	{	
		ja = 0;
		for (j = nPML_y_1; j < ny_MIN_1_MIN_nPML_y_2; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_6[ia][ja][k];
				
				Fy_6[ia][ja][k] = K_a[Ind[i][j][k]]*Fy_6[ia][ja][k] + 
					              K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
								                      (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Gy_r = Gy_6[ia][ja][k];

				Gy_6[ia][ja][k] = K_Gy_a_1[k]*Gy_6[ia][ja][k] + 
					              K_Gy_b_1[k]*(Fy_6[ia][ja][k] - Fy_r);

				Ey[i][j][k] = K_Ey_a_2[ii]*Ey[i][j][k] + 
					          K_Ey_b_2[ii]*TwoOREp0*( Gy_6[ia][ja][k] - Gy_r);
			}
			ja++;
		}
		ia++;
		ii--;
	}
}

void CFDTD_3D_PML::calc_Ey_7()
{
	long  i, j, k, jj, ja;
	double Fy_r, Gy_r;

	//7
	for (i = 1; i < nPML_x_1; i++)
	{	
		ja = 0;
		jj = nPML_y_2_MIN_1;
		for (j = ny_MIN_1_MIN_nPML_y_2; j < ny_MIN_1; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_7[i][ja][k];
				
				Fy_7[i][ja][k] = K_a[Ind[i][j][k]]*Fy_7[i][ja][k] + 
					             K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
								                     (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Gy_r = Gy_7[i][ja][k];

				Gy_7[i][ja][k] = K_Gy_a_1[k]*Gy_7[i][ja][k] + 
					             K_Gy_b_1[k]*(Fy_7[i][ja][k] - Fy_r);

				Ey[i][j][k] =  K_Ey_a_1[i]*Ey[i][j][k] + 
					           K_Ey_b_1[i]*( K_Ey_c_2[jj]*Gy_7[i][ja][k] + K_Ey_d_2[jj]*Gy_r);
			}
			ja++;
			jj--;
		}
	}
}

void CFDTD_3D_PML::calc_Ey_8()
{
	long  i, j, k, jj, ia, ja;
	double Fy_r, Gy_r;

	//8
	ia = 0;
	for (i = nPML_x_1; i < nx_MIN_nPML_x_2; i++)
	{	
		ja = 0;
		jj = nPML_y_2_MIN_1;
		for (j = ny_MIN_1_MIN_nPML_y_2; j < ny_MIN_1; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_8[ia][ja][k];
				
				Fy_8[ia][ja][k] = K_a[Ind[i][j][k]]*Fy_8[ia][ja][k] + 
					              K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
								                      (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Gy_r = Gy_8[ia][ja][k];

				Gy_8[ia][ja][k] = K_Gy_a_1[k]*Gy_8[ia][ja][k] + 
					              K_Gy_b_1[k]*(Fy_8[ia][ja][k] - Fy_r);

				Ey[i][j][k] +=  inv_TwoOREp0*( K_Ey_c_2[jj]*Gy_8[ia][ja][k] + 
					                           K_Ey_d_2[jj]*Gy_r);
			}
			ja++;
			jj--;
		}
		ia++;
	}
}

void CFDTD_3D_PML::calc_Ey_9()
{
	long  i, j, k, ii, jj, ia, ja;
	double Fy_r, Gy_r;

	//9
	ia = 0;
	ii = nPML_x_2_MIN_1;
	for (i = nx_MIN_nPML_x_2; i < nx_MIN_1; i++)
	{	
		ja = 0;
		jj = nPML_y_2_MIN_1;
		for (j = ny_MIN_1_MIN_nPML_y_2; j < ny_MIN_1; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_9[ia][ja][k];
				
				Fy_9[ia][ja][k] = K_a[Ind[i][j][k]]*Fy_9[ia][ja][k] + 
					              K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
								                      (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Gy_r = Gy_9[ia][ja][k];

				Gy_9[ia][ja][k] = K_Gy_a_1[k]*Gy_9[ia][ja][k] + 
					              K_Gy_b_1[k]*(Fy_9[ia][ja][k] - Fy_r);

				Ey[i][j][k] = K_Ey_a_2[ii]*Ey[i][j][k] + 
					          K_Ey_b_2[ii]*( K_Ey_c_2[jj]*Gy_9[ia][ja][k] + K_Ey_d_2[jj]*Gy_r);
			}
			ja++;
			jj--;
		}
		ia++;
		ii--;
	}
}

void CFDTD_3D_PML::calc_Ey_10()
{
	long  i, j, k, ka;
	double Fy_r;

	//10
	for (i = 1; i < nPML_x_1; i++)
	{	
		for (j = 0; j < nPML_y_1; j++)
		{	
			ka = 0;
			for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
			{
				Fy_r = Fy_10[i][j][ka];
				
				Fy_10[i][j][ka] = K_a[Ind[i][j][k]]*Fy_10[i][j][ka] + 
					              K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
								                      (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Ey[i][j][k] = K_Ey_a_1[i]*Ey[i][j][k] + 
					          K_Ey_b_1[i]*( K_Ey_c_1[j]*Fy_10[i][j][ka] + K_Ey_d_1[j]*Fy_r);
				ka++;
			}
		}
	}
}

void CFDTD_3D_PML::calc_Ey_11()
{
	long  i, j, k, ia, ka;
	double Fy_r;

	//11
	ia = 0;
	for (i = nPML_x_1; i < nx_MIN_nPML_x_2; i++)
	{	
		for (j = 0; j < nPML_y_1; j++)
		{	
			ka = 0;
			for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
			{
				Fy_r = Fy_11[ia][j][ka];
				
				Fy_11[ia][j][ka] = K_a[Ind[i][j][k]]*Fy_11[ia][j][ka] + 
					               K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
								                       (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Ey[i][j][k] +=  inv_TwoOREp0*( K_Ey_c_1[j]*Fy_11[ia][j][ka] + 
					                           K_Ey_d_1[j]*Fy_r);
				ka++;
			}
		}
		ia++;
	}
}

void CFDTD_3D_PML::calc_Ey_12()
{
	long  i, j, k, ii, ia, ka;
	double Fy_r;
	
	//12
	ia = 0;
	ii = nPML_x_2_MIN_1;
	for (i = nx_MIN_nPML_x_2; i < nx_MIN_1; i++)
	{	
		for (j = 0; j < nPML_y_1; j++)
		{	
			ka = 0;
			for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
			{
				Fy_r = Fy_12[ia][j][ka];
				
				Fy_12[ia][j][ka] = K_a[Ind[i][j][k]]*Fy_12[ia][j][ka] + 
					               K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
								                       (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Ey[i][j][k] = K_Ey_a_2[ii]*Ey[i][j][k] + 
					          K_Ey_b_2[ii]*( K_Ey_c_1[j]*Fy_12[ia][j][ka] + K_Ey_d_1[j]*Fy_r);
				ka++;
			}
		}
		ia++;
		ii--;
	}
}

void CFDTD_3D_PML::calc_Ey_13()
{
	long  i, j, k, ja, ka;
	double Fy_r;

	//13
	for (i = 1; i < nPML_x_1; i++)
	{	
		ja = 0;
		for (j = nPML_y_1; j < ny_MIN_1_MIN_nPML_y_2; j++)
		{	
			ka = 0;
			for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
			{
				Fy_r = Fy_13[i][ja][ka];
				
				Fy_13[i][ja][ka] = K_a[Ind[i][j][k]]*Fy_13[i][ja][ka] + 
					               K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
								                       (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );

				Ey[i][j][k] = K_Ey_a_1[i]*Ey[i][j][k] + 
					          K_Ey_b_1[i]*TwoOREp0*( Fy_13[i][ja][ka] - Fy_r);
				ka++;
			}
			ja++;
		}
	}
}

void CFDTD_3D_PML::calc_Ey_14(long nx_a, long nx_b, long ny_a, long ny_b, long nz_a, long nz_b)
{
	long  i, j, k;
	
	//14 - Outside of the PML
	for (i = nx_a; i < nx_b; i++)
	{
		for (j = ny_a; j < ny_b; j++)
		{	
			for (k = nz_a; k < nz_b; k++)
			{
				Ey[i][j][k] = K_a[Ind[i][j][k]]*Ey[i][j][k] + 
					          K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz - 
						 	                      (Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );
			}
		}
	}
}

void CFDTD_3D_PML::calc_Ey_15()
{
	long  i, j, k, ii, ia, ja, ka;
	double Fy_r;

	//15
	ia = 0;
	ii = nPML_x_2_MIN_1;
	for (i = nx_MIN_nPML_x_2; i < nx_MIN_1; i++)
	{	
		ja = 0;
		for (j = nPML_y_1; j < ny_MIN_1_MIN_nPML_y_2; j++)
		{	

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